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3 years ago

In parallelogram KLMN, m∠KLM=100°. Identify m∠KNM. HELP PLEASE!!

Mathematics

1 answer:

serg [7]3 years ago

4 0

Answer:

m∠KNM = 100°

Step-by-step explanation:

Because this is a parallelogram, we know that lines KL and MN are parallel, as are lines NK and LM. So, we can use the Opposite Interior Angles Theorem to identify m∠KNM.

The Opposite Interior Angles Theorem states that, when two parallel lines are intersected by a transversal, their opposite interior angles are congruent. The interior angle that is opposite ∠KLM is ∠KNM. Therefore they must have equal measures.

Since m∠KLM = 100°, m∠KNM must also equal 100°.

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